# Radius of Convergence of the Power Series

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Complex Variable

Radius of Convergence of the Power Series

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Theorem:- âˆ‘ anzn is a power series and âˆ‘ nanzn - 1 is the power series obtained

n=0 n=0

by differentiating the first series term by term.

Then the derived series has the same radius of convergence as the original series.

See the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:15 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/radius-convergence-power-series-37243

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Complex Variable

Radius of Convergence of the Power Series

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This solution is comprised of a detailed explanation of the radius of convergence of the function. The radius of convergence of the power series are determined.

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